Prime p₀= 2112111776887502539 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 70 42 6 14 30 10 12 104 12 10 30 14 6 42 70 (?)
a_n: 0 70 112 118 132 162 172 184 288 300 310 340 354 360 402 472
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 472
Found by: JonS
db: batch=80, k=16, 70 42 6 14 30 10 12 104

SPT(16)	2112110540220110303	0 20 56 96 146 156 158 200 264 306 308 318 368 408 444 464	-1236667392236
SPT(16)	2112110693008343809	0 4 34 40 48 118 132 190 192 250 264 334 342 348 378 382	-1083879158730
SPT(13)	2112111046328698271	0 42 48 72 90 108 120 132 150 168 192 198 240	-730558804268
SPT(16)	2112111204590340337	0 60 90 94 130 150 160 192 202 234 244 264 300 304 334 394	-572297162202
SPT(16)	2112111428321767199	0 20 32 48 54 60 90 108 134 152 182 188 194 210 222 242	-348565735340
STPT(10)	2112111547337033939	0 2 48 50 90 92 132 134 180 182	-229550468600
SPT(16)	2112112136203077461	0 18 62 66 78 206 216 242 276 302 312 440 452 456 500 518	359315574922
SPT(16)	2112112779122340881	0 32 60 68 80 96 116 120 248 252 272 288 300 308 336 368	1002234838342
SPT(16)	2112113075764462031	0 60 62 66 122 128 140 170 228 258 270 276 332 336 338 398	1298876959492
STPT(10)	2112113194786560137	0 2 30 32 42 44 54 56 84 86	1417899057598
TPT(14)	2112113424498817457	0 2 42 44 90 92 174 176 222 224 312 314 342 344	1647611314918